Amathematicalmodelforthethree-dimensionalsimulationoffreedendriticgrowthandmicrostructureevolutionwasdevelopedbasedonthegrowthmechanismofcrystalgrainsandbasictransferequationssuchasheat,massandmomentumtransferequations.Manyfactorsincludingconstitutionalundercooling,curvatureundercoolingandanisotropy,whichhadvitalinfluencesonthemicrostructureevolution,wereconsideredinthemodel.SimulatedresultsshowedthatfinalmicrostructuralpatternsandfreedendriticgrowthcouldbepredictedreasonablyandcalculatedresultswerecoincidentwithexperimentalThesimulatedresultsoffreedendriticgrowthindicatedthatthestrengthofanisotropyhassignificanteffectsonfreedendriticgrowth,dendriteprofile,microsoluteandtemperaturedistribution.Thedendriticgrainprofileswithfully-grownparallelsecondaryarmtendtobeformedattheintensiveanisotropy,whilenearoctahedralgrainprofileswithsmallprotuberancesofsurfaceatlowstrengthofanisotropy.Thesimulatedresultsoffreedendriticgrowthalsoindicatedthattherearesmallmoltenpoolsleftininterdendriticareas.Thisishelpfultounderstandthefundamentaloftheformationofmicrostructurerelateddefectssuchasmicrosegregationandmicroporosity.
